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The number 28443

28443 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 499. Divisors (8): 1, 3, 19, 57, 499, 1497, 9481, 28443.

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How to work it out

  1. 1

    What is special about 28443: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    28443 is composite. Its prime factorisation is

    28443=3×19×49928443 = 3 \times 19 \times 499
  3. 3

    The divisors add up to 40000; without 28443 itself that is 11557, so 28443 is deficient (11557 is less than 28443). Euler's totient φ(28443) = 17928 numbers up to 28443 share no factor with it.

  4. 4

    The digits of 28443 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.

LaTeX source of the formulas on this page
\[ 28443 = 3 \times 19 \times 499 \]

28443 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors40000
Euler totient φ(n)17928
Square809004249
Cube23010507854307
Square root168.650526
Digit sum / digital root21 / 3
Collatz steps to 1103
Scientific notation2.8443 × 10410^{4}

28443 in other forms

FormValue
In wordstwenty-eight thousand four hundred and forty-three
Binary (base 2)110111100011011
Octal (base 8)67433
Hexadecimal (base 16)6F1B
Base 31110000110
As time28443 seconds = 7 h 54 min 3 s

Is 28443 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (28443 ÷ 3 = 9481)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 28443 a prime number?

No. 28443 = 3 × 19 × 499, so it is divisible by 3.

What are the factors of 28443?

1, 3, 19, 57, 499, 1497, 9481, 28443.

What is 28443 in binary?

110111100011011 (hexadecimal 6F1B, octal 67433).

What is the square root of 28443?

About 168.6505.

Is 28443 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 28443?

28443 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    28443: is it prime? Factors, square root, binary, Roman numeral | WordGPT